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Schrodinger's Equation

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Points of Emphasis

Prerequisites

Lab Activities

In this lab, the students find solutions to the one dimensional time independent Schrodinger equation using software that employs a fourth order Runge-Kutta numerical integration method. Where possible, they are asked to compare the results to theory or other known values.

Four specific situations are examined:

  • harmonic oscillator

  • strong square well

  • quartic well and linear trough

  • tunnelling barrier

The computer program is written in True Basic and the source code is provided in the lab write-up.

Course Level

Introductory: P17, P23, P24

Student Handouts

Equipment

Number of set-ups available:

Per lab station:

1 Macintosh SE/30/dust cover, mouse pad and rolling cart
1 Turbonet connector
1 4 wire phone cable
1 True Basic and Blitzmail software on Mac
1 network printer
1 Schrodinger Equation software on Mac
1 network port

Apparatus

Notes


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